Queen's University

Dr. Ram Murty

Professor, Department of Mathematics and Statistics, Department of Philosophy
HUMANITIES, MATHEMATICS AND STATISTICS, PHILOSOPHY, LIFE & PHYSICAL SCIENCES

Queen's Research Chair

Autobiography

I received my PhD from the Massachusetts Institute of Technology (MIT). I am currently a Queen's Research Chair in Mathematics, with a cross-appointment to Philosophy. I have been the winner of the Queen's Research Prize, and the Coxeter-James Prize and many other honours in mathematics, and am a Fellow of the Royal Society of Canada. In Philosophy my interests relate to Indian philosophy and in mathematical logic.

Specialising in number theory, I focus my research in the areas of modular forms, elliptic curves, and sieve theory.

Expository Lectures
Recent Publications
Most Recent Project

Problems in the Theory of Modular Forms

This book introduces the reader to the fascinating world of modular forms through a problem-solving approach. As such, it can be used by the undergraduate and graduate student for self-instruction. The topics covered include q-series, the modular group, the upper half-plane, modular forms of level one and higher level, the Ramanujan τ -function, the Petersson inner product, Hecke operators, Dirichlet series attached to modular forms and further special topics. It can be viewed as a gentle introduction for a deeper study of the subject. Thus, it is ideal for non-experts seeking an entry into the field.

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Other Projects

  • Transcendental Numbers

    This book provides an introduction to the topic of transcendental numbers for upper-level undergraduate and graduate students. The text is constructed to support a full course on the subject, including descriptions of both relevant theorems and their applications. While the first part of the book focuses on introducing key concepts, the second part presents more complex material, including applications of Baker’s theorem, Schanuel’s conjecture, and Schneider’s theorem. These later chapters may be of interest to researchers interested in examining the relationship between transcendence and L-functions.

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  • Indian Philosophy: An Introduction

    This book introduces the vast topic of Indian philosophy. It begins with a study of the major Upanishads, and then surveys the philosophical ideas contained in the Bhagavadgita. After a short excursion into Buddhism, it summarizes the salient ideas of the six systems of Indian philosophy: Nyaya, Vaisesika, Samkhya, Yoga, Purva Mimamsa, and Vedanta. It concludes with an introduction to contemporary Indian thought.

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